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Class 11 Physics · Chapter 13 · NCERT (keph206)

Oscillations: common misconceptions

See the tempting mistake students make in Oscillations, why it feels right at first glance, and a worked visual example that shows the right idea.

The tempting mistake & worked visual

Where does a spring mass move fastest?

Wrong

The mass moves fastest at maximum stretch because the spring pulls hardest there.

Why it feels right. I connect the biggest force with the biggest speed.

Right

The mass changes direction at maximum displacement. In ideal spring motion its speed peaks at equilibrium.

Worked example

The mass is momentarily at rest at both ends. Its speed is greatest as it crosses equilibrium.
  1. Release a mass from maximum stretch.
  2. It starts at rest.
  3. At equilibrium, spring potential energy is at a minimum and speed is at a maximum.
  4. The mass then slows to rest at the opposite end.

If your child says… (8 concept checks in this chapter)

As you work through Oscillations, listen for these everyday misunderstandings and use the prompt alongside each one.

1. Period, frequency and amplitude See how to teach this step →

If your child says… “It has returned to the centre, so the cycle is finished.”

Ask together
Is the spoon travelling the same way on these two centre crossings?
What’s true
Passing the centre in the opposite direction does not complete a cycle.
2. Phase and circular projections See how to teach this step →

If your child says… “The starting position tells us the phase.”

Ask together
Do these matching projection positions have matching directions?
What’s true
Between the ends, the same position occurs at different phases when travelling in opposite directions.
3. Velocity and acceleration in SHM See how to teach this step →

If your child says… “When it stops at an end, its acceleration is zero.”

Ask together
Where is the acceleration curve when the velocity curve starts at zero?
What’s true
At either end, speed is zero but acceleration has its greatest magnitude, directed towards equilibrium.
4. Restoring force See how to teach this step →

If your child says… “Any force pulling back gives exact SHM.”

Ask together
Would a force growing eightfold when displacement doubles satisfy that requirement?
What’s true
A restoring force must also vary directly with displacement for exact SHM.

If your child says… “Twice the amplitude means twice the energy.”

Ask together
How much does the square of a number increase when that number doubles?
What’s true
For the same ideal spring, doubling amplitude requires four times the energy.
6. Spring oscillations See how to teach this step →

If your child says… “Four times the mass means four times the period.”

Ask together
What does taking the square root do to the fourfold mass increase?
What’s true
On the same ideal spring, period grows with the square root of mass.
7. Simple pendulum See how to teach this step →

If your child says… “Four times the length means four times the period.”

Ask together
What is the square root of four?
What’s true
At fixed gravity, small-swing period grows with the square root of length.
8. Oscillations in liquids See how to teach this step →

If your child says… “A wider cork bobs faster because water pushes harder.”

Ask together
If the water pushes harder, what also makes the wider cork harder to accelerate?
What’s true
Wider uniform corks have unchanged ideal periods for equal heights, equal densities and small bobs.

Use this chapter three ways